138209585851123200
138,209,585,851,123,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138209585851123200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
138209585851123200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138209585851123200:
29 × 38 × 52 × 43 × 3373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 43 × 337 × 337 × 337)See below for interesting mathematical facts about the number 138209585851123200 from the Numbermatics database.
Names of 138209585851123200
- Cardinal: 138209585851123200 can be written as One hundred thirty-eight quadrillion, two hundred nine trillion, five hundred eighty-five billion, eight hundred fifty-one million, one hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.382095858511232 × 1017
Factors of 138209585851123200
Divisors of 138209585851123200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 72 75 80 81 86 90 96 100 108 120 128 129 135 144 150 160 162 172 180 192 200 215 216 225 240 243 256 258 270 288 300 320 324 337 344 360 384 387 400 405 430 432 450 480 486 512 516 540 576 600 640 645 648 674 675 688 720 729 768 774 800 810 860 864 900 960 972 1011 1032 1075 1080 1152 1161 1200 1215 1280 1290 1296 1348 1350 1376 1440 1458 1536 1548 1600 1620 1685 1720 1728 1800 1920 1935 1944 2022 2025 2064 2150 2160 2187 2304 2322 2400 2430 2560 2580 2592 2696 2700 2752 2880 2916 3033 3096 3200 3225 3240 3370 3440 3456 3483 3600 3645 3840 3870 3888 4044 4050 4128 4300 4320 4374 4608 4644 4800 4860 5055 5160 5184 5392 5400 5504 5760 5805 5832 6066 6075 6192 6400 6450 6480 6561 6740 6880 6912 6966 7200 7290 7680 7740 7776 8088 8100 8256 8425 8600 8640 8748 9099 9288 9600 9675 9720 10110 10320 10368 10449 10784 10800 10935 11008 11520 11610 11664 12132 12150 12384 12800 12900 12960 13122 13480 13760 13824 13932 14400 14491 14580 15165 15480 15552 16176 16200 16512 16850 17200 17280 17415 17496 18198 18225 18576 19200 19350 19440 20220 20640 20736 20898 21568 21600 21870 22016 23040 23220 23328 24264 24300 24768 25275 25800 25920 26244 26960 27297 27520 27864 28800 28982 29025 29160 30330 30960 31104 31347 32352 32400 32805 33024 33700 34400 34560 34830 34992 36396 36450 37152 38400 38700 38880 40440 41280 41472 41796 43136 43200 43473 43740 45495 46440 46656 48528 48600 49536 50550 51600 51840 52245 52488 53920 54594 54675 55040 55728 57600 57964 58050 58320 60660 61920 62208 62694 64704 64800 65610 66048 67400 68800 69120 69660 69984 72455 72792 72900 74304 75825 77400 77760 80880 81891 82560 83592 86272 86400 86946 87075 87480 90990 92880 93312 94041 97056 97200 99072 101100 103200 103680 104490 104976 107840 109188 109350 110080 111456 113569 115200 115928 116100 116640 121320 123840 124416 125388 129408 129600 130419 131220 134800 136485 137600 139320 139968 144910 145584 145800 148608 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100443012973200 102377471000832 102529366358400 106643198959200 107139213838080 107976238946190 113752745556480 115174654875936 119043570931200 119973598829100 127971838751040 128567056605696 133924017297600 136705821811200 142190931945600 143968318594920 153566206501248 159964798438800 160708820757120 170629118334720 172761982313904 178565356396800 179960398243650 189587909260800 191957758126560 200886025946400 204754942001664 205058732716800 213286397918400 214278427676160 215952477892380 230349309751872 239947197658200 255943677502080 267848034595200 269940597365475 284381863891200 287936637189840 307132413002496 319929596877600 321417641514240 341258236669440 345523964627808 357130712793600 359920796487300 383915516253120 401772051892800 410117465433600 426572795836800 431904955784760 460698619503744 479894395316400 511887355004160 535696069190400 539881194730950 568763727782400 575873274379680 614264826004992 639859193755200 642835283028480 691047929255616 719841592974600 767831032506240 803544103785600 853145591673600 863809911569520 921397239007488 959788790632800 1023774710008320 1071392138380800 1079762389461900 1151746548759360 1279718387510400 1382095858511232 1439683185949200 1535662065012480 1607088207571200 1706291183347200 1727619823139040 1842794478014976 1919577581265600 2159524778923800 2303493097518720 2559436775020800 2764191717022464 2879366371898400 3071324130024960 3214176415142400 3455239646278080 3839155162531200 4319049557847600 4606986195037440 5118873550041600 5528383434044928 5758732743796800 6910479292556160 7678310325062400 8638099115695200 9213972390074880 11517465487593600 13820958585112320 15356620650124800 17276198231390400 23034930975187200 27641917170224640 34552396462780800 46069861950374400 69104792925561600 138209585851123200
- Sum of all divisors σ(n): 527120081759734320
- Sum of proper divisors (its aliquot sum) s(n): 388910495908611120
- 138209585851123200 is an abundant number, because the sum of its proper divisors (388910495908611120) is greater than itself. Its abundance is 250700910057487920
Bases of 138209585851123200
- Binary: 1111010110000010011100010110101010011010111000110000000002
- Hexadecimal: 0x1EB04E2D535C600
- Base-36: 11SV7J7Q0000
Squares and roots of 138209585851123200
- 138209585851123200 squared (1382095858511232002) is 19101889621138994236154701578240000
- 138209585851123200 cubed (1382095858511232003) is 2640064253511489041086941719984940732716679168000000
-
The
square root of 138209585851123200 is 371765498.4679498201 -
The
cube root of 138209585851123200 is 517026.4030941121
Scales and comparisons
How big is 138209585851123200?- 138,209,585,851,123,200 seconds is equal to 4,394,637,319 years, 38 weeks, 6 days.
-
To count from 1 to 138,209,585,851,123,200 would take you about thirteen billion, one hundred eighty-three million, nine hundred eleven thousand, nine hundred fifty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138209585851123200 cubic inches would be around 43085.5 feet tall.
Recreational maths with 138209585851123200
- 138209585851123200 backwards is 002321158585902831
- The number of decimal digits it has is: 18
- The sum of 138209585851123200's digits is 63
- More coming soon!
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"Number 138209585851123200 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138209585851123200 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138209585851123200/
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The information we have on file for 138209585851123200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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